GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1/120*1/120*1/120*1/120*1/120*1/120*1/120* (x[1]+5)* (x[1]+4)* (x[1]+3)* (x[1]+2)* (x[1]+1)* (x[2]+5)* (x[2]+4)* (x[2]+3)* (x[2]+2)* (x[2]+1)* (x[3]+5)* (x[3]+4)* (x[3]+3)* (x[3]+2)* (x[3]+1)* (x[4]+5)* (x[4]+4)* (x[4]+3)* (x[4]+2)* (x[4]+1)* (x[5]+5)* (x[5]+4)* (x[5]+3)* (x[5]+2)* (x[5]+1)* (x[6]+5)* (x[6]+4)* (x[6]+3)* (x[6]+2)* (x[6]+1)* (x[7]+5)* (x[7]+4)* (x[7]+3)* (x[7]+2)* (x[7]+1)